Applications of Rational Functions: EC A1

The number of days it takes to build a fountain, x, varies inversely with the number of workers, y. If it takes 480 days to build the fountain with 16 workers, how many days would it take to build it with 12?

• 360 days
• 640 days
• 192 days
• 7860 days

x^2+2x+1/(x-4) times x^2-3x-4/(x+1). Simplify 

• 0
• x+1
• (x+1)^2/(x-4)^2
• x^2+2x+1

State the values of x that make the equation undefined. 1/2x^2+8x+6 times x+1/x-4

• x=-6,-1,4
• x=-6,4
• x=-3,-1,4
• x=6

Solve. (x-1)/(x^2-1) - (x+2)/(x-1)

• x^2-2x-1/x^2-1
• (x-2)/(x-1)
• -1/x^2-1
• x^2-1

A sailboat can travel 10 mi/hour in still water. It takes the sailboat the same time to travel 15mi with the wind as it does to travel 5 mi against it. What is the rate of the wind’s current.

• wind=5 mi/hr
• wind = 10 mi/hr
• wind= .75 mi/hr
• wind= 3 mi/mr

Solve. x/x^2 / x-1/x^2-3x+2

• 1/x^2-3x+2
• x/x-2
• x-2/x
• x/x^2

Zack Fair can clear a dungeon in 6 hours. Cloud Strife can do it in 10 hours. How long does in take if they work together? 

• 3 hours 45 minutes
• .26 hours
• 4.25 hours
• 8 hours

Solve for n. 6/n-4=3/n+4 + 2n/n^2-16

• n=1.5
• n=0
• n=36
• n=-36

x^2-16/x-2 + x+4/2= ?

• (3x-10)(x+4)/2(x-2)
• 2x^2+2x-24/(x-2)
• x^2+x-12/2(x-2)
• x/2

Shinra Academy’s football team is planning a trip to Midgar’s annual high school football tournament. It costs $1250 per member plus a $5000 dollar deposit. If 7 chaperones had to attend, and their cost was covered by the members, how much would the trip cost per member if 60 members went (60 includes chaperones)?  Round to the nearest cent.

• $1509.43
• $1333.33
• $1250
• $7250